Exponential splines and minimal-support bases for curve representation
نویسندگان
چکیده
منابع مشابه
Exponential splines and minimal-support bases for curve representation
Our interest is to characterize the spline-like integer-shift-invariant bases capable of reproducing exponential polynomial curves. We prove that any compact-support function that reproduces a subspace of the exponential polynomials can be expressed as the convolution of an exponential B-spline with a compact-support distribution. As a direct consequence of this factorization theorem, we show t...
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Pseudo-splines are a rich family of functions that allows the user to meet various demands for balancing polynomial reproduction (i.e., approximation power), regularity and support size. Such a family includes, as special members, B-spline functions, universally known for their usefulness in different fields of application. When replacing polynomial reproduction by exponential polynomial reprod...
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Let Sr(∆) be the module of all splines of smoothness r on the rectilinear partition ∆ which subdivides some domain D. Further, let Sr(Γ) be the module of all splines of smoothness r on Γ which also subdivides D, where Γ is a finer subdivision of ∆. We study the relationship between a generating set of Sr(∆) and a generating set for Sr(Γ). This paper gives an algorithm for extending a generating...
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ژورنال
عنوان ژورنال: Computer Aided Geometric Design
سال: 2012
ISSN: 0167-8396
DOI: 10.1016/j.cagd.2011.10.005